Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 904, 554, 961, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 554, 961, 146 is 1
GCD(904, 554, 961, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 554, 961, 146 is 1
GCD(904, 554, 961, 146) = 1
Given Input numbers are 904, 554, 961, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 904, 554, 961, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 554, 961, 146 is 1.
Therefore, GCD of numbers 904, 554, 961, 146 is 1
Given Input Data is 904, 554, 961, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 554 is 2 x 277
Prime Factorization of 961 is 31 x 31
Prime Factorization of 146 is 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(904, 554) = 250408
GCD(904, 554) = ( 904 x 554 ) / 250408
GCD(904, 554) = 500816 / 250408
GCD(904, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 961) = 1922
GCD(2, 961) = ( 2 x 961 ) / 1922
GCD(2, 961) = 1922 / 1922
GCD(2, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 904, 554, 961, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 554, 961, 146?
GCD of 904, 554, 961, 146 is 1
2. Where do I get the detailed procedure to find GCD of 904, 554, 961, 146?
You can find a detailed procedure to find GCD of 904, 554, 961, 146 on our page.
3. How to find GCD of 904, 554, 961, 146 on a calculator?
You can find the GCD of 904, 554, 961, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.